(a) Explanation Calculation: Use moment area method: Show the free body diagram of beam as in Figure 1. Draw the moment diagram of the above beam as in Figure 2. Calculate the moment ( M ) by taking moment about point A : M = − P L Calculate the ratio of M E I using the relation: Ratio = M E I Substitute − P L for M 1 and EI for EI. M 1 E I = − P L E I Calculate the area ( A ) due to the moment ( M ) using the formula: A = 1 2 b h Here, b is the width of the triangle and h is the height of the triangle. Substitute L for b and − P L E I for h . A = 1 2 × L × ( − P L E I ) = − P L 2 2 E I Since the support B has fixed support, the slope ( θ B ) is zero. Place the reference tangent at the point B . Show the tangent to the curve at B as the reference tangent in Figure 3. (b) To determine Find the deflection at the free end.

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ISBN: 8220100257063

Author: BEER

Publisher: YUZU

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Chapter 9.5, Problem 96P

(a)

To determine

Find the slope (θA) at free end.

(b)

To determine

Find the deflection at the free end.

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Chapter 9.5, Problem 95P

Chapter 9.5, Problem 97P

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Find the slope ( θ A ) at free end.

Solution Summary: The author illustrates the moment area method by showing the free body diagram of beam as in Figure 1.